2² × 3 × 5 × 7 × 13 × 23 × 79

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 13 × 23 × 79

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 36,126,720

Proper Divisor Sum 26,205,900

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9920803 ← → #9920821

Radix Representation

Decimal	9920820
Binary	100101110110000100110100 (24 bits)
Octal	0o45660464
Hexadecimal	0x976134

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 10 12 13 14 15 20 21 23 26 28 30 35 39 42 46 52 60 65 69 70 78 79 84 91 92 105 115 130 138 140 156 158 161 182 195 210 230 237 260 273 276 299 316 322 345 364 390 395 420 455 460 474 483

Collatz Trajectory (114 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,920,820 4,960,410 2,480,205 7,440,616 3,720,308 1,860,154 930,077 2,790,232 1,395,116 697,558 348,779 1,046,338 523,169 1,569,508 784,754 392,377 1,177,132 588,566 294,283 882,850 441,425 1,324,276 662,138 331,069 993,208 496,604 248,302 124,151 372,454 186,227 558,682 279,341 838,024 419,012 209,506 104,753 314,260 157,130 78,565 235,696 117,848 58,924 29,462 14,731 44,194 22,097 66,292 33,146 16,573 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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